jbagnall@broadinstitute.org, adapted from scripts by Marek Orzechowski
Jan. 21, 2025
Calculate moderated z-score based on RNAseq data. This notebook is to be run after 01_qc_and_vst.Rmd. This notebook performs the points below:
  1. Quantile normalize
  2. Robust z-score
  3. Moderated z-score, collapsing replicates based on correlation between replicates

User inputs

#working directory
wkdir = '/Users/sophie_chen/downloads/psa_rnaseq_manuscript_rproject-main/'

#output directory
outdir = '/Users/sophie_chen/downloads/psa_rnaseq_manuscript_rproject-main/output'

#run_name is something to identify this data set, will be included in saved file names
run_name = "mocp_0193_6h"

#run_name_suffix is something to identify this data set (in case it's a subset of run_name), will be included in saved file names, can be empty string
run_name_suffix = ""

#project_id0 could be the same as run_name, but is something corresponding to a field in the input data frame to identify this data set
project_id0 = "mocp_0193"

#date
date0 = "25127"

#vst file path, VST data calculated in 01_qc_and_vst.Rmd script
#vst_filepath = paste0(outdir, paste(run_name, run_name_suffix, "Project_vst_remove_low_count_samples_and_genes_n120x5849.gct", sep = "_"))
vst_filepath = "/Users/sophie_chen/downloads/psa_rnaseq_manuscript_rproject-main/output/mocp_0193_6h_vst_remove_low_count_samples_and_genes_n180x5846.gct"

#Column name in the column metadata from the VST file that identifies the batches within which you will calculate z-scores, e.g. something that identifies the 384 well plates, or different data sets
batch_column_name = "project_plate_id_384well"

#Value at which to clip the absolute value of the resulting z-scores, so outliers don't throw off down-stream correlations to the reference set
#This value is usually 10 for z-scores (larger # of samples), and larger, e.g. 500, for nz-scores (smaller # of samples)
clip_value = 10
                     

Load libraries & data paths

Quantile normalization

Group data by normalization units (comb_id)

library(cmapR)
library(dplyr)
source('./functions/Functions_general.R')
source('./functions/Functions_mod_z_score.R')

end_char = substr(outdir, nchar(outdir), nchar(outdir))
if(end_char != "/"){
  outdir = paste0(outdir, '/')
}

if(!dir.exists(outdir)){
  print("Creating output directory")
  dir.create(outdir)
}

getwd()
[1] "/Users/sophie_chen/Downloads/psa_rnaseq_manuscript_rproject-main"
#VST data calculated in 01_qc_and_vst.Rmd script
data_vst = parse_gctx(vst_filepath)
parsing as GCT v1.3
/Users/sophie_chen/downloads/psa_rnaseq_manuscript_rproject-main/output/mocp_0193_6h_vst_remove_low_count_samples_and_genes_n180x5846.gct 5846 rows, 180 cols, 16 row descriptors, 25 col descriptors
data_mat = data_vst@mat
row_meta = data_vst@rdesc
col_meta = data_vst@cdesc

#Compound metadata
# comp_meta = read.csv('./reference_files/Metadata_compound_231129.csv', stringsAsFactors = F)

Quantile normalization within each normalization unit (normalization across each sample)

#Define groups (batches) to do quantile normalization
temp = col_meta[[batch_column_name]]
col_meta[["comb_id"]] = temp
remove(temp)

comb_id_unique = unique(col_meta$comb_id)
print(comb_id_unique)
[1] "MOCP_0193_1"
#update metadata in gctx file
data_vst@cdesc = col_meta

Plotting qnorm data for QC visualization

#Loop over each comb_id

data_qnorm = data_mat
flag0 = rep(0, length(comb_id_unique)) #flag to check if all comb_ids ran
for(num in 1:length(comb_id_unique)){
    idx = which(col_meta$comb_id == comb_id_unique[num])
    sum(length(idx))
    if(sum(length(idx))>0){
      data_qnorm[,idx] = qnorm_median(data_mat[,idx])
    }else{
      flag0[num] = 1
    }
}

#If any comb_ids had no samples, sum(flag0) > 0
if(sum(flag0) > 0){
  print("Warning: Not all comb_ids were quantile normalized")
}else{
  print("All comb_ids quantile normalized")
}
[1] "All comb_ids quantile normalized"
any(is.na(data_qnorm))
[1] FALSE
#Make boxplot of each sample
col_meta_select = dplyr::select(col_meta, id, comb_id) %>% distinct()
data_qnorm_df = as.data.frame(data_qnorm)
data_qnorm_df$gene_id = rownames(data_qnorm_df)
data_qnorm_df = tidyr::gather(data_qnorm_df, key = "id", value = "qnorm_vst", -gene_id)
data_qnorm_df = dplyr::left_join(data_qnorm_df, col_meta_select, by = "id")

ggplot(data_qnorm_df, aes(x = id, y = qnorm_vst, group = id)) +
  geom_boxplot()+
  facet_wrap(~comb_id, scales = "free_x")+
  theme_bw(base_size = 14)


data_qnorm_pca = run_pca(data_qnorm, col_meta = col_meta, color_col = "strain_id", scale0 = T)

Z-score across each gene

Prepare with QC

#Save qnorm data to gct
qnorm_file_path = paste0(outdir, paste(run_name,run_name_suffix, "qnorm_remove_low_count_samples_and_genes", sep = "_"))

save_to_gct(data_mat = data_qnorm, data_cdesc = col_meta, data_rdesc = row_meta, savefilepath = qnorm_file_path)
Saving file to  /Users/sophie_chen/downloads/psa_rnaseq_manuscript_rproject-main/output/mocp_0193_6h__qnorm_remove_low_count_samples_and_genes_n180x5846.gct 
Dimensions of matrix: [5846x180]
Setting precision to 4
Saved.

Perform Z-score calculation per row

#Each row is a gene, visualize metrics that will be used for z-score calculation
row_medians = rowMedians(data_qnorm, na.rm = T)
plot(x = seq(1:length(row_medians)), y = row_medians)


row_mads = apply(data_qnorm, MARGIN = 1, FUN = function(x){mad(x, na.rm = T)})
plot(x = seq(1:length(row_mads)), y = row_mads)

Clip extreme z-score values

zscore_list = list()
data_zscore = data_qnorm

flag0 = rep(0, length(comb_id_unique)) #flag to check if all comb_ids ran
for(num in 1:length(comb_id_unique)){
    idx = which(col_meta$comb_id == comb_id_unique[num])
    sum(length(idx))
    if(sum(length(idx))>0){
       zscore_list[[num]] = robust_zscore(data_qnorm[,idx], dim0 = 1) #z-score along rows, outputs zscores, medians and mads
       data_zscore[,idx] = zscore_list[[num]][[1]] #only taking the z-scores
    }else{
      flag0[num] = 1
    }
}

#Any comb_ids didn't get z-scored?
if(sum(flag0) > 0){
  print("Warning: Not all comb_ids were standardized")
}

Plot PCA

#Clip z-score values to account for extreme cases where genes with low count had low variation (i.e. low median absolute deviation)
#Look at genes' z-score distribution
hist(data_zscore, breaks = 100)

quantile(data_zscore, c(0.001, 0.005, 0.01, 0.05, 0.95, 0.99, 0.995, 0.999))
     0.1%      0.5%        1%        5%       95%       99%     99.5%     99.9% 
-5.069348 -3.540297 -2.992669 -1.863136  1.785939  3.143715  3.930308  6.602259 
data_zscore = base::pmax(data_zscore, -1*clip_value)
data_zscore = base::pmin(data_zscore, clip_value)

Save z-scores into GCT file

data_zscore_pca = run_pca(data_zscore, col_meta = col_meta, color_col = "strain_id", scale0 = T)

Collapse replicates

if(!all(colnames(data_zscore) == col_meta$id)){
  print("Warning: column names of matrix & metadata IDs do not match")
}
if(!all(rownames(data_zscore) == row_meta$gene_id)){
  print("Warning: row names do not match gene IDs in metadata")
}

save_to_gct(data_mat = data_zscore, data_cdesc = col_meta, data_rdesc = row_meta, savefilepath = paste0(outdir, paste(run_name,run_name_suffix, "zscore_remove_low_count_samples_and_genes", sep = "_")))
Saving file to  /Users/sophie_chen/downloads/psa_rnaseq_manuscript_rproject-main/output/mocp_0193_6h__zscore_remove_low_count_samples_and_genes_n180x5846.gct 
Dimensions of matrix: [5846x180]
Setting precision to 4
Saved.
num_row_zscore = dim(data_zscore)[1]
num_col_zscore = dim(data_zscore)[2]

Save replicate collapsed data as gct file

zscore = cmapR::parse_gctx(paste0(outdir, paste(run_name,run_name_suffix, "zscore_remove_low_count_samples_and_genes", sep = "_"), "_n", num_col_zscore, "x", num_row_zscore, ".gct"))
parsing as GCT v1.3
/Users/sophie_chen/downloads/psa_rnaseq_manuscript_rproject-main/output/mocp_0193_6h__zscore_remove_low_count_samples_and_genes_n180x5846.gct 5846 rows, 180 cols, 16 row descriptors, 26 col descriptors
col_meta = zscore@cdesc
data_zscore = zscore@mat


#identify replicates
#perform moderated collapsing of averages
condition_id_unique = unique(col_meta$condition_id)
num_genes = dim(data_zscore)[1]
num_samples = dim(data_zscore)[2]
num_conditions = length(condition_id_unique)

data_rep_collapse = matrix(NA, nrow = num_genes, ncol = num_conditions)

all(col_meta$id == colnames(data_zscore))
[1] TRUE
for(num in 1:num_conditions){
  idx = which(col_meta$condition_id == condition_id_unique[num])
  cidx = which(colnames(data_zscore) %in% col_meta$id[idx])
  data_rep_collapse[,num] = modzs_collapse_avg(data = data_zscore[,cidx], ridx = seq(1, num_genes, by = 1))
}
colnames(data_rep_collapse) = condition_id_unique
rownames(data_rep_collapse) = rownames(data_zscore)

Plots and QC

#Revamp column metadata since replicates are collapsed
col_meta_collapse = select(sample_meta, condition_id, pert_id, pert_dose, pert_idose, pert_dose_unit, pert_iname, pert_itime, pert_time, pert_time_unit, pert_type, project_id, strain_id, x_dose_mic_high_inoculum) %>% distinct()

col_meta_collapse_sub = data.frame(condition_id = condition_id_unique)
col_meta_collapse_sub = left_join(col_meta_collapse_sub, col_meta_collapse, by = "condition_id")
all(colnames(data_rep_collapse) == col_meta_collapse_sub$condition_id)
Warning: longer object length is not a multiple of shorter object length
[1] FALSE
all(rownames(data_rep_collapse) == row_meta$gene_id)
[1] TRUE
save_to_gct(data_mat = data_rep_collapse, data_cdesc = col_meta_collapse_sub, data_rdesc = row_meta, savefilepath = paste0(outdir, paste(run_name,run_name_suffix, "modzscore_remove_low_count_samples_and_genes_rep_collapse", sep = "_")))
Error in methods::validObject(ds) : 
  invalid class “GCT” object: cdesc must either have 0 rows or the same number of rows as matrix has columns

Add inactive info and dose ranks to the column metadata if desired (optional)

col_meta_collapse_sub$id = col_meta_collapse_sub$condition_id
data_zscore_rep_collapse_pca = run_pca(data_rep_collapse, col_meta = col_meta_collapse_sub, color_col = "pert_dose", scale0 = T)

---
title: "Calculate moderated z-score across all treatments, by batch"
output: html_notebook
---


jbagnall@broadinstitute.org, adapted from scripts by Marek Orzechowski</br>
Jan. 21, 2025</br>
Calculate moderated z-score based on RNAseq data. This notebook is to be run after 01_qc_and_vst.Rmd. This notebook performs the points below: <br />
<ol>
  <li>Quantile normalize</li>
  <li>Robust z-score</li>
  <li>Moderated z-score, collapsing replicates based on correlation between replicates</li></ol>


# User inputs
```{r}
#working directory
wkdir = '/Users/sophie_chen/downloads/psa_rnaseq_manuscript_rproject-main/'

#output directory
outdir = '/Users/sophie_chen/downloads/psa_rnaseq_manuscript_rproject-main/output'

#run_name is something to identify this data set, will be included in saved file names
run_name = "mocp_0193_6h"

#run_name_suffix is something to identify this data set (in case it's a subset of run_name), will be included in saved file names, can be empty string
run_name_suffix = ""

#project_id0 could be the same as run_name, but is something corresponding to a field in the input data frame to identify this data set
project_id0 = "mocp_0193"

#date
date0 = "25127"

#vst file path, VST data calculated in 01_qc_and_vst.Rmd script
#vst_filepath = paste0(outdir, paste(run_name, run_name_suffix, "Project_vst_remove_low_count_samples_and_genes_n120x5849.gct", sep = "_"))
vst_filepath = "/Users/sophie_chen/downloads/psa_rnaseq_manuscript_rproject-main/output/mocp_0193_6h_vst_remove_low_count_samples_and_genes_n180x5846.gct"

#Column name in the column metadata from the VST file that identifies the batches within which you will calculate z-scores, e.g. something that identifies the 384 well plates, or different data sets
batch_column_name = "project_plate_id_384well"

#Value at which to clip the absolute value of the resulting z-scores, so outliers don't throw off down-stream correlations to the reference set
#This value is usually 10 for z-scores (larger # of samples), and larger, e.g. 500, for nz-scores (smaller # of samples)
clip_value = 10
                     
```


```{r, setup, include=FALSE}
# Make sure directories exist, otherwise create them
end_char = substr(wkdir, nchar(wkdir), nchar(wkdir))
if(end_char != "/"){
  wkdir = paste0(wkdir, '/')
}

if(dir.exists(wkdir)){
  setwd(wkdir)
  knitr::opts_knit$set(root.dir = wkdir) #This needs to be in the setup chunk to make it global for all chunks
}else{
  stop("Working directory does not exist")
}
print(paste0("Working directory: ", getwd()))
```



## Load libraries & data paths
```{r, include=FALSE}
library(cmapR)
library(dplyr)
source('./functions/Functions_general.R')
source('./functions/Functions_mod_z_score.R')

end_char = substr(outdir, nchar(outdir), nchar(outdir))
if(end_char != "/"){
  outdir = paste0(outdir, '/')
}

if(!dir.exists(outdir)){
  print("Creating output directory")
  dir.create(outdir)
}

getwd()

#VST data calculated in 01_qc_and_vst.Rmd script
data_vst = parse_gctx(vst_filepath)
data_mat = data_vst@mat
row_meta = data_vst@rdesc
col_meta = data_vst@cdesc

#Compound metadata
# comp_meta = read.csv('./reference_files/Metadata_compound_231129.csv', stringsAsFactors = F)

```


## Quantile normalization
### Group data by normalization units (comb_id)
```{r}
#Define groups (batches) to do quantile normalization
temp = col_meta[[batch_column_name]]
col_meta[["comb_id"]] = temp
remove(temp)

comb_id_unique = unique(col_meta$comb_id)
print(comb_id_unique)

#update metadata in gctx file
data_vst@cdesc = col_meta
```

### Quantile normalization within each normalization unit (normalization across each sample)
```{r}
#Loop over each comb_id

data_qnorm = data_mat
flag0 = rep(0, length(comb_id_unique)) #flag to check if all comb_ids ran
for(num in 1:length(comb_id_unique)){
    idx = which(col_meta$comb_id == comb_id_unique[num])
    sum(length(idx))
    if(sum(length(idx))>0){
      data_qnorm[,idx] = qnorm_median(data_mat[,idx])
    }else{
      flag0[num] = 1
    }
}

#If any comb_ids had no samples, sum(flag0) > 0
if(sum(flag0) > 0){
  print("Warning: Not all comb_ids were quantile normalized")
}else{
  print("All comb_ids quantile normalized")
}

any(is.na(data_qnorm))
```

#### Plotting qnorm data for QC visualization
```{r}
#Make boxplot of each sample
col_meta_select = dplyr::select(col_meta, id, comb_id) %>% distinct()
data_qnorm_df = as.data.frame(data_qnorm)
data_qnorm_df$gene_id = rownames(data_qnorm_df)
data_qnorm_df = tidyr::gather(data_qnorm_df, key = "id", value = "qnorm_vst", -gene_id)
data_qnorm_df = dplyr::left_join(data_qnorm_df, col_meta_select, by = "id")

ggplot(data_qnorm_df, aes(x = id, y = qnorm_vst, group = id)) +
  geom_boxplot()+
  facet_wrap(~comb_id, scales = "free_x")+
  theme_bw(base_size = 14)

data_qnorm_pca = run_pca(data_qnorm, col_meta = col_meta, color_col = "strain_id", scale0 = T)

```

```{r}
#Save qnorm data to gct
qnorm_file_path = paste0(outdir, paste(run_name,run_name_suffix, "qnorm_remove_low_count_samples_and_genes", sep = "_"))

save_to_gct(data_mat = data_qnorm, data_cdesc = col_meta, data_rdesc = row_meta, savefilepath = qnorm_file_path)

```



## Z-score across each gene
### Prepare with QC
```{r}
#Each row is a gene, visualize metrics that will be used for z-score calculation
row_medians = rowMedians(data_qnorm, na.rm = T)
plot(x = seq(1:length(row_medians)), y = row_medians)

row_mads = apply(data_qnorm, MARGIN = 1, FUN = function(x){mad(x, na.rm = T)})
plot(x = seq(1:length(row_mads)), y = row_mads)

```

### Perform Z-score calculation per row
```{r}
zscore_list = list()
data_zscore = data_qnorm

flag0 = rep(0, length(comb_id_unique)) #flag to check if all comb_ids ran
for(num in 1:length(comb_id_unique)){
    idx = which(col_meta$comb_id == comb_id_unique[num])
    sum(length(idx))
    if(sum(length(idx))>0){
       zscore_list[[num]] = robust_zscore(data_qnorm[,idx], dim0 = 1) #z-score along rows, outputs zscores, medians and mads
       data_zscore[,idx] = zscore_list[[num]][[1]] #only taking the z-scores
    }else{
      flag0[num] = 1
    }
}

#Any comb_ids didn't get z-scored?
if(sum(flag0) > 0){
  print("Warning: Not all comb_ids were standardized")
}
```

### Clip extreme z-score values
```{r}
#Clip z-score values to account for extreme cases where genes with low count had low variation (i.e. low median absolute deviation)
#Look at genes' z-score distribution
hist(data_zscore, breaks = 100)
quantile(data_zscore, c(0.001, 0.005, 0.01, 0.05, 0.95, 0.99, 0.995, 0.999))

data_zscore = base::pmax(data_zscore, -1*clip_value)
data_zscore = base::pmin(data_zscore, clip_value)

```


### Plot PCA
```{r}
data_zscore_pca = run_pca(data_zscore, col_meta = col_meta, color_col = "strain_id", scale0 = T)
```

### Save z-scores into GCT file
```{r}
if(!all(colnames(data_zscore) == col_meta$id)){
  print("Warning: column names of matrix & metadata IDs do not match")
}
if(!all(rownames(data_zscore) == row_meta$gene_id)){
  print("Warning: row names do not match gene IDs in metadata")
}

save_to_gct(data_mat = data_zscore, data_cdesc = col_meta, data_rdesc = row_meta, savefilepath = paste0(outdir, paste(run_name,run_name_suffix, "zscore_remove_low_count_samples_and_genes", sep = "_")))

num_row_zscore = dim(data_zscore)[1]
num_col_zscore = dim(data_zscore)[2]

```

## Collapse replicates
```{r}
zscore = cmapR::parse_gctx(paste0(outdir, paste(run_name,run_name_suffix, "zscore_remove_low_count_samples_and_genes", sep = "_"), "_n", num_col_zscore, "x", num_row_zscore, ".gct"))

col_meta = zscore@cdesc
data_zscore = zscore@mat


#identify replicates
#perform moderated collapsing of averages
condition_id_unique = unique(col_meta$condition_id)
num_genes = dim(data_zscore)[1]
num_samples = dim(data_zscore)[2]
num_conditions = length(condition_id_unique)

data_rep_collapse = matrix(NA, nrow = num_genes, ncol = num_conditions)

all(col_meta$id == colnames(data_zscore))

for(num in 1:num_conditions){
  idx = which(col_meta$condition_id == condition_id_unique[num])
  cidx = which(colnames(data_zscore) %in% col_meta$id[idx])
  data_rep_collapse[,num] = modzs_collapse_avg(data = data_zscore[,cidx], ridx = seq(1, num_genes, by = 1))
}
colnames(data_rep_collapse) = condition_id_unique
rownames(data_rep_collapse) = rownames(data_zscore)

```



### Save replicate collapsed data as gct file
```{r}
#Revamp column metadata since replicates are collapsed
col_meta_collapse = select(sample_meta, condition_id, pert_id, pert_dose, pert_idose, pert_dose_unit, pert_iname, pert_itime, pert_time, pert_time_unit, pert_type, project_id, strain_id, x_dose_mic_high_inoculum) %>% distinct()

col_meta_collapse_sub = data.frame(condition_id = condition_id_unique)
col_meta_collapse_sub = left_join(col_meta_collapse_sub, col_meta_collapse, by = "condition_id")
all(colnames(data_rep_collapse) == col_meta_collapse_sub$condition_id)
all(rownames(data_rep_collapse) == row_meta$gene_id)

save_to_gct(data_mat = data_rep_collapse, data_cdesc = col_meta_collapse_sub, data_rdesc = row_meta, savefilepath = paste0(outdir, paste(run_name,run_name_suffix, "modzscore_remove_low_count_samples_and_genes_rep_collapse", sep = "_")))

num_row_collapse = dim(data_rep_collapse)[1]
num_col_collapse = dim(data_rep_collapse)[2]
```

### Plots and QC
```{r}    
col_meta_collapse_sub$id = col_meta_collapse_sub$condition_id
data_zscore_rep_collapse_pca = run_pca(data_rep_collapse, col_meta = col_meta_collapse_sub, color_col = "pert_dose", scale0 = T)
```


### Add inactive info and dose ranks to the column metadata if desired (optional)
```{r}
data_rep_collapse_path = paste0(outdir, paste(run_name,run_name_suffix, "modzscore_remove_low_count_samples_and_genes_rep_collapse", sep = "_"), "_n", num_col_collapse, "x", num_row_collapse, ".gct")
data_rep_collapse = parse_gctx(data_rep_collapse_path)
data_rep_collapse_mat = data_rep_collapse@mat

#Determine weak signal separately based on DESeq2 p-values
inactives = readRDS('/Users/sophie_chen/downloads/psa_rnaseq_manuscript_rproject-main/output/meow_vst_remove_samples_and_genes.rds')

#condition_ids changed to include 5 digits after the decimal in the pert_dose to be consistent with previous runs
inactives$numerator_condition_id_old = inactives$numerator_condition_id
inactives = mutate(inactives, numerator_condition_id=paste(numerator_project_id, numerator_pert_id, paste0(sprintf("%.5f", round(numerator_pert_dose, 5)), "uM"), numerator_strain_id, "90min:A", sep = ":"))

cdesc1 = data_rep_collapse@cdesc
colnames(cdesc1)
colnames(inactives)
any(tolower(cdesc1$condition_id) %in% tolower(inactives$numerator_condition_id))
cdesc1 = mutate(cdesc1, inactive = ifelse(tolower(condition_id) %in% tolower(inactives$numerator_condition_id), TRUE, FALSE))
cdesc1 = cdesc1 %>%
  group_by(strain_id, pert_id, pert_time, pert_itime) %>%
  arrange(pert_dose) %>%
  mutate(dose_rank = 1:n()) %>%
  ungroup()

any(cdesc1$id %in% colnames(data_rep_collapse@mat))

#reorder cdesc
cidx = match(colnames(data_rep_collapse@mat), cdesc1$id)
cdesc1 = cdesc1[cidx, ]
all(cdesc1$id == colnames(data_rep_collapse@mat))
str(cdesc1)

data_rep_collapse@cdesc = as.data.frame(cdesc1)

write_gct(data_rep_collapse, paste0(outdir, paste(run_name, run_name_suffix, 'modzscore_remove_low_count_samples_and_genes_rep_collapse_inactivelabel', date0, sep = "_")))

```
